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Finding the Fourth Proportional to 465.84, 698.42 and 219.06

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Solution

The fourth proportional to 465.84, 698.42 and 219.06 is: 328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 698.42 = 219.06 : x
  2. Step 2: Convert to fraction form
    465.84/698.42 = 219.06/x
  3. Step 3: Cross multiply
    465.84x = 698.42 × 219.06
  4. Step 4: Simplify right side
    465.84x = 152,996.43
  5. Step 5: Solve for x
    x = 152,996.43/465.84
  6. Step 6: Final answer
    x = 328.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.